
2113 DEC. 19, 20, 21 (TUE, WED, THU)
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| ARIES | VENUS | MARS | JUPITER | SATURN
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G.M.T | GHA | GHA Dec | GHA Dec | GHA Dec | GHA Dec
d h | ° ' | ° ' ° ' | ° ' ° ' | ° ' ° ' | ° ' ° '
19 0 | 87 32.1 | 178 33.5 S23 46.6 | 224 15.4 S15 52.1 | 196 24.6 S21 42.3 | 93 14.7 S 4 53.7
1 | 102 34.6 | 193 32.6 S23 46.7 | 239 16.2 S15 52.6 | 211 26.5 S21 42.4 | 108 17.0 S 4 53.7
2 | 117 37.1 | 208 31.6 S23 46.8 | 254 17.0 S15 53.1 | 226 28.4 S21 42.5 | 123 19.4 S 4 53.6
3 | 132 39.5 | 223 30.6 S23 46.9 | 269 17.9 S15 53.6 | 241 30.3 S21 42.6 | 138 21.8 S 4 53.6
4 | 147 42.0 | 238 29.7 S23 47.1 | 284 18.7 S15 54.1 | 256 32.1 S21 42.6 | 153 24.1 S 4 53.5
T 5 | 162 44.5 | 253 28.7 S23 47.2 | 299 19.6 S15 54.6 | 271 34.0 S21 42.7 | 168 26.5 S 4 53.5
U
E 6 | 177 46.9 | 268 27.7 S23 47.3 | 314 20.4 S15 55.1 | 286 35.9 S21 42.8 | 183 28.9 S 4 53.4
S 7 | 192 49.4 | 283 26.7 S23 47.4 | 329 21.3 S15 55.6 | 301 37.8 S21 42.9 | 198 31.3 S 4 53.4
D 8 | 207 51.8 | 298 25.8 S23 47.5 | 344 22.1 S15 56.0 | 316 39.6 S21 42.9 | 213 33.6 S 4 53.3
A 9 | 222 54.3 | 313 24.8 S23 47.6 | 359 22.9 S15 56.5 | 331 41.5 S21 43.0 | 228 36.0 S 4 53.3
Y 10 | 237 56.8 | 328 23.8 S23 47.7 | 14 23.8 S15 57.0 | 346 43.4 S21 43.1 | 243 38.4 S 4 53.2
11 | 252 59.2 | 343 22.8 S23 47.8 | 29 24.6 S15 57.5 | 1 45.3 S21 43.1 | 258 40.7 S 4 53.2
12 | 268 01.7 | 358 21.9 S23 47.9 | 44 25.5 S15 58.0 | 16 47.1 S21 43.2 | 273 43.1 S 4 53.1
13 | 283 04.2 | 13 20.9 S23 48.0 | 59 26.3 S15 58.5 | 31 49.0 S21 43.3 | 288 45.5 S 4 53.1
14 | 298 06.6 | 28 19.9 S23 48.1 | 74 27.1 S15 59.0 | 46 50.9 S21 43.4 | 303 47.9 S 4 53.0
15 | 313 09.1 | 43 19.0 S23 48.2 | 89 28.0 S15 59.5 | 61 52.8 S21 43.4 | 318 50.2 S 4 53.0
16 | 328 11.6 | 58 18.0 S23 48.3 | 104 28.8 S15 60.0 | 76 54.7 S21 43.5 | 333 52.6 S 4 52.9
17 | 343 14.0 | 73 17.0 S23 48.4 | 119 29.7 S16 00.4 | 91 56.5 S21 43.6 | 348 55.0 S 4 52.9
18 | 358 16.5 | 88 16.0 S23 48.5 | 134 30.5 S16 00.9 | 106 58.4 S21 43.7 | 3 57.3 S 4 52.9
19 | 13 18.9 | 103 15.1 S23 48.6 | 149 31.3 S16 01.4 | 122 00.3 S21 43.7 | 18 59.7 S 4 52.8
20 | 28 21.4 | 118 14.1 S23 48.7 | 164 32.2 S16 01.9 | 137 02.2 S21 43.8 | 34 02.1 S 4 52.8
21 | 43 23.9 | 133 13.1 S23 48.8 | 179 33.0 S16 02.4 | 152 04.0 S21 43.9 | 49 04.5 S 4 52.7
22 | 58 26.3 | 148 12.1 S23 48.9 | 194 33.9 S16 02.9 | 167 05.9 S21 43.9 | 64 06.8 S 4 52.7
23 | 73 28.8 | 163 11.2 S23 49.0 | 209 34.7 S16 03.4 | 182 07.8 S21 44.0 | 79 09.2 S 4 52.6
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20 0 | 88 31.3 | 178 10.2 S23 49.1 | 224 35.5 S16 03.9 | 197 09.7 S21 44.1 | 94 11.6 S 4 52.6
1 | 103 33.7 | 193 09.2 S23 49.2 | 239 36.4 S16 04.3 | 212 11.5 S21 44.2 | 109 13.9 S 4 52.5
2 | 118 36.2 | 208 08.2 S23 49.3 | 254 37.2 S16 04.8 | 227 13.4 S21 44.2 | 124 16.3 S 4 52.5
3 | 133 38.7 | 223 07.3 S23 49.4 | 269 38.1 S16 05.3 | 242 15.3 S21 44.3 | 139 18.7 S 4 52.4
4 | 148 41.1 | 238 06.3 S23 49.4 | 284 38.9 S16 05.8 | 257 17.2 S21 44.4 | 154 21.0 S 4 52.4
W 5 | 163 43.6 | 253 05.3 S23 49.5 | 299 39.7 S16 06.3 | 272 19.0 S21 44.4 | 169 23.4 S 4 52.3
E
D 6 | 178 46.1 | 268 04.4 S23 49.6 | 314 40.6 S16 06.8 | 287 20.9 S21 44.5 | 184 25.8 S 4 52.3
N 7 | 193 48.5 | 283 03.4 S23 49.7 | 329 41.4 S16 07.3 | 302 22.8 S21 44.6 | 199 28.1 S 4 52.2
E 8 | 208 51.0 | 298 02.4 S23 49.8 | 344 42.3 S16 07.8 | 317 24.7 S21 44.7 | 214 30.5 S 4 52.2
S 9 | 223 53.4 | 313 01.4 S23 49.8 | 359 43.1 S16 08.2 | 332 26.5 S21 44.7 | 229 32.9 S 4 52.1
D 10 | 238 55.9 | 328 00.5 S23 49.9 | 14 43.9 S16 08.7 | 347 28.4 S21 44.8 | 244 35.2 S 4 52.1
A 11 | 253 58.4 | 342 59.5 S23 50.0 | 29 44.8 S16 09.2 | 2 30.3 S21 44.9 | 259 37.6 S 4 52.0
Y
12 | 269 00.8 | 357 58.5 S23 50.1 | 44 45.6 S16 09.7 | 17 32.2 S21 45.0 | 274 40.0 S 4 52.0
13 | 284 03.3 | 12 57.5 S23 50.1 | 59 46.4 S16 10.2 | 32 34.1 S21 45.0 | 289 42.3 S 4 51.9
14 | 299 05.8 | 27 56.6 S23 50.2 | 74 47.3 S16 10.7 | 47 35.9 S21 45.1 | 304 44.7 S 4 51.9
15 | 314 08.2 | 42 55.6 S23 50.3 | 89 48.1 S16 11.1 | 62 37.8 S21 45.2 | 319 47.1 S 4 51.8
16 | 329 10.7 | 57 54.6 S23 50.3 | 104 49.0 S16 11.6 | 77 39.7 S21 45.2 | 334 49.4 S 4 51.7
17 | 344 13.2 | 72 53.6 S23 50.4 | 119 49.8 S16 12.1 | 92 41.6 S21 45.3 | 349 51.8 S 4 51.7
18 | 359 15.6 | 87 52.7 S23 50.5 | 134 50.6 S16 12.6 | 107 43.4 S21 45.4 | 4 54.2 S 4 51.6
19 | 14 18.1 | 102 51.7 S23 50.5 | 149 51.5 S16 13.1 | 122 45.3 S21 45.5 | 19 56.5 S 4 51.6
20 | 29 20.6 | 117 50.7 S23 50.6 | 164 52.3 S16 13.6 | 137 47.2 S21 45.5 | 34 58.9 S 4 51.5
21 | 44 23.0 | 132 49.7 S23 50.7 | 179 53.1 S16 14.0 | 152 49.1 S21 45.6 | 50 01.3 S 4 51.5
22 | 59 25.5 | 147 48.8 S23 50.7 | 194 54.0 S16 14.5 | 167 50.9 S21 45.7 | 65 03.6 S 4 51.4
23 | 74 27.9 | 162 47.8 S23 50.8 | 209 54.8 S16 15.0 | 182 52.8 S21 45.7 | 80 06.0 S 4 51.4
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21 0 | 89 30.4 | 177 46.8 S23 50.9 | 224 55.7 S16 15.5 | 197 54.7 S21 45.8 | 95 08.4 S 4 51.3
1 | 104 32.9 | 192 45.8 S23 50.9 | 239 56.5 S16 16.0 | 212 56.6 S21 45.9 | 110 10.7 S 4 51.3
2 | 119 35.3 | 207 44.9 S23 51.0 | 254 57.3 S16 16.5 | 227 58.5 S21 46.0 | 125 13.1 S 4 51.2
3 | 134 37.8 | 222 43.9 S23 51.0 | 269 58.2 S16 16.9 | 243 00.3 S21 46.0 | 140 15.5 S 4 51.2
4 | 149 40.3 | 237 42.9 S23 51.1 | 284 59.0 S16 17.4 | 258 02.2 S21 46.1 | 155 17.8 S 4 51.1
T 5 | 164 42.7 | 252 41.9 S23 51.1 | 299 59.8 S16 17.9 | 273 04.1 S21 46.2 | 170 20.2 S 4 51.1
H
U 6 | 179 45.2 | 267 41.0 S23 51.2 | 315 00.7 S16 18.4 | 288 06.0 S21 46.2 | 185 22.6 S 4 51.0
R 7 | 194 47.7 | 282 40.0 S23 51.2 | 330 01.5 S16 18.9 | 303 07.8 S21 46.3 | 200 24.9 S 4 51.0
S 8 | 209 50.1 | 297 39.0 S23 51.3 | 345 02.3 S16 19.3 | 318 09.7 S21 46.4 | 215 27.3 S 4 50.9
D 9 | 224 52.6 | 312 38.0 S23 51.3 | 0 03.2 S16 19.8 | 333 11.6 S21 46.4 | 230 29.7 S 4 50.9
A 10 | 239 55.1 | 327 37.1 S23 51.4 | 15 04.0 S16 20.3 | 348 13.5 S21 46.5 | 245 32.0 S 4 50.8
Y 11 | 254 57.5 | 342 36.1 S23 51.4 | 30 04.8 S16 20.8 | 3 15.4 S21 46.6 | 260 34.4 S 4 50.8
12 | 269 60.0 | 357 35.1 S23 51.5 | 45 05.7 S16 21.3 | 18 17.2 S21 46.7 | 275 36.8 S 4 50.7
13 | 285 02.4 | 12 34.1 S23 51.5 | 60 06.5 S16 21.7 | 33 19.1 S21 46.7 | 290 39.1 S 4 50.7
14 | 300 04.9 | 27 33.1 S23 51.5 | 75 07.3 S16 22.2 | 48 21.0 S21 46.8 | 305 41.5 S 4 50.6
15 | 315 07.4 | 42 32.2 S23 51.6 | 90 08.2 S16 22.7 | 63 22.9 S21 46.9 | 320 43.8 S 4 50.6
16 | 330 09.8 | 57 31.2 S23 51.6 | 105 09.0 S16 23.2 | 78 24.7 S21 46.9 | 335 46.2 S 4 50.5
17 | 345 12.3 | 72 30.2 S23 51.7 | 120 09.8 S16 23.7 | 93 26.6 S21 47.0 | 350 48.6 S 4 50.5
18 | 0 14.8 | 87 29.2 S23 51.7 | 135 10.7 S16 24.1 | 108 28.5 S21 47.1 | 5 50.9 S 4 50.4
19 | 15 17.2 | 102 28.3 S23 51.7 | 150 11.5 S16 24.6 | 123 30.4 S21 47.2 | 20 53.3 S 4 50.4
20 | 30 19.7 | 117 27.3 S23 51.8 | 165 12.3 S16 25.1 | 138 32.3 S21 47.2 | 35 55.7 S 4 50.3
21 | 45 22.2 | 132 26.3 S23 51.8 | 180 13.2 S16 25.6 | 153 34.1 S21 47.3 | 50 58.0 S 4 50.2
22 | 60 24.6 | 147 25.3 S23 51.8 | 195 14.0 S16 26.1 | 168 36.0 S21 47.4 | 66 00.4 S 4 50.2
23 | 75 27.1 | 162 24.4 S23 51.8 | 210 14.8 S16 26.5 | 183 37.9 S21 47.4 | 81 02.7 S 4 50.1
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| v -1.0 d 0.1 | v 0.8 d 0.5 | v 1.9 d 0.1 | v 2.4 d 0.1
2113 DEC. 19, 20, 21 (TUE, WED, THU)
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| SUN | MOON | STARS
------+-------------------+----------------------------------+------------------------------
G.M.T | GHA Dec | GHA v Dec d HP | Name SHA Dec
d h | ° ' ° ' | ° ' ' ° ' ' ' | ° ' ° '
19 0 | 180 51.1 S23 23.4 | 51 29.1 9.1 N10 24.9 14.1 60.2 | Acamar 314 21.0 S39 51.3
1 | 195 50.7 S23 23.4 | 65 57.2 9.1 N10 39.0 14.0 60.2 | Achernar 334 30.6 S56 40.0
2 | 210 50.4 S23 23.5 | 80 25.2 9.0 N10 53.0 14.0 60.2 | Acrux 171 45.3 S63 43.3
3 | 225 50.1 S23 23.6 | 94 53.1 8.9 N11 06.9 13.9 60.3 | Adhara 254 13.1 S29 07.8
4 | 240 49.8 S23 23.6 | 109 20.9 8.8 N11 20.8 13.9 60.3 | Albireo 66 10.7 N28 12.2
T 5 | 255 49.5 S23 23.7 | 123 48.7 8.8 N11 34.6 13.8 60.3 |
U | | | Aldebaran 289 22.8 N16 43.9
E 6 | 270 49.2 S23 23.7 | 138 16.3 8.7 N11 48.3 13.8 60.3 | Alioth 165 14.9 N55 20.4
S 7 | 285 48.9 S23 23.8 | 152 43.9 8.6 N12 02.0 13.7 60.3 | Alkaid 151 60.0 N48 44.7
D 8 | 300 48.6 S23 23.8 | 167 11.5 8.5 N12 15.6 13.6 60.3 | Al Na-ir 26 09.8 S46 24.7
A 9 | 315 48.3 S23 23.9 | 181 38.9 8.4 N12 29.2 13.6 60.3 | Alnilam 274 29.8 S 1 08.1
Y 10 | 330 48.0 S23 23.9 | 196 06.3 8.4 N12 42.7 13.5 60.4 |
11 | 345 47.7 S23 24.0 | 210 33.6 8.3 N12 56.1 13.4 60.4 | Alphard 216 42.1 S 9 09.2
| | | Alphecca 125 07.7 N26 20.1
12 | 0 47.4 S23 24.0 | 225 00.8 8.2 N13 09.5 13.3 60.4 | Alpheratz 356 25.7 N29 43.2
13 | 15 47.1 S23 24.1 | 239 27.9 8.1 N13 22.7 13.3 60.4 | Altair 60 55.4 N 9 10.4
14 | 30 46.8 S23 24.1 | 253 55.0 8.0 N13 35.9 13.2 60.4 | Ankaa 352 01.6 S41 41.7
15 | 45 46.5 S23 24.2 | 268 21.9 8.0 N13 49.0 13.1 60.4 |
16 | 60 46.1 S23 24.2 | 282 48.8 7.9 N14 02.1 13.0 60.4 | Antares 110 54.5 S26 40.6
17 | 75 45.8 S23 24.3 | 297 15.6 7.8 N14 15.0 13.0 60.4 | Arcturus 144 47.4 N18 35.5
| | | Atria 104 49.4 S69 13.4
18 | 90 45.5 S23 24.3 | 311 42.3 7.7 N14 27.9 12.9 60.4 | Avior 233 46.8 S59 52.4
19 | 105 45.2 S23 24.4 | 326 09.0 7.6 N14 40.7 12.8 60.5 | Bellatrix 277 11.1 N 6 26.8
20 | 120 44.9 S23 24.4 | 340 35.5 7.6 N14 53.4 12.7 60.5 |
21 | 135 44.6 S23 24.4 | 355 02.0 7.5 N15 06.0 12.6 60.5 | Betelgeuse 269 39.7 N 7 25.3
22 | 150 44.3 S23 24.5 | 9 28.4 7.4 N15 18.5 12.5 60.5 | Canopus 263 22.2 S52 45.6
23 | 165 44.0 S23 24.5 | 23 54.7 7.3 N15 31.0 12.4 60.5 | Capella 278 43.0 N46 06.3
------+-------------------+----------------------------------| Castor 244 32.0 N31 37.9
20 0 | 180 43.7 S23 24.6 | 38 20.9 7.2 N15 43.3 12.3 60.5 | Deneb 48 40.7 N45 41.5
1 | 195 43.4 S23 24.6 | 52 47.1 7.1 N15 55.5 12.2 60.5 |
2 | 210 43.1 S23 24.6 | 67 13.1 7.1 N16 07.7 12.1 60.5 | Denebola 181 17.2 N13 56.1
3 | 225 42.8 S23 24.7 | 81 39.1 7.0 N16 19.7 12.0 60.5 | Diphda 347 40.5 S17 21.9
4 | 240 42.5 S23 24.7 | 96 05.0 6.9 N16 31.7 11.9 60.5 | Dubhe 192 19.7 N61 07.8
W 5 | 255 42.2 S23 24.7 | 110 30.8 6.8 N16 43.5 11.8 60.5 | Elnath 276 37.3 N28 41.7
E | | | Eltanin 90 11.8 N51 28.7
D 6 | 270 41.8 S23 24.8 | 124 56.5 6.7 N16 55.2 11.7 60.5 |
N 7 | 285 41.5 S23 24.8 | 139 22.1 6.6 N17 06.9 11.6 60.5 | Enif 32 33.6 N10 24.0
E 8 | 300 41.2 S23 24.8 | 153 47.6 6.5 N17 18.4 11.5 60.5 | Fomalhaut 14 01.3 S29 01.3
S 9 | 315 40.9 S23 24.9 | 168 13.1 6.5 N17 29.8 11.4 60.5 | Gacrux 170 37.3 S57 44.6
D 10 | 330 40.6 S23 24.9 | 182 38.5 6.4 N17 41.1 11.3 60.5 | Gienah 174 35.0 S18 10.2
A 11 | 345 40.3 S23 24.9 | 197 03.8 6.3 N17 52.2 11.2 60.5 | Hadar 147 01.6 S60 54.7
Y | | |
12 | 0 40.0 S23 25.0 | 211 29.0 6.2 N18 03.3 11.1 60.5 | Hamal 326 35.8 N23 59.9
13 | 15 39.7 S23 25.0 | 225 54.1 6.1 N18 14.2 10.9 60.6 | Kaus Austr. 82 04.7 S34 19.5
14 | 30 39.4 S23 25.0 | 240 19.2 6.0 N18 25.1 10.8 60.6 | Kochab 137 23.8 N73 41.2
15 | 45 39.1 S23 25.0 | 254 44.1 6.0 N18 35.8 10.7 60.6 | Markab 12 23.6 N15 49.1
16 | 60 38.8 S23 25.1 | 269 09.0 5.9 N18 46.3 10.6 60.6 | Menkar 312 56.2 N 4 31.9
17 | 75 38.5 S23 25.1 | 283 33.8 5.8 N18 56.8 10.5 60.6 |
| | | Menkent 146 39.2 S36 55.4
18 | 90 38.2 S23 25.1 | 297 58.5 5.7 N19 07.1 10.3 60.6 | Miaplacidus 221 23.0 S70 10.9
19 | 105 37.8 S23 25.1 | 312 23.2 5.6 N19 17.3 10.2 60.6 | Mirfak 306 52.3 N50 15.7
20 | 120 37.5 S23 25.2 | 326 47.7 5.6 N19 27.4 10.1 60.6 | Nunki 74 25.7 S26 08.9
21 | 135 37.2 S23 25.2 | 341 12.2 5.5 N19 37.3 9.9 60.6 | Peacock 51 21.7 S56 22.0
22 | 150 36.9 S23 25.2 | 355 36.6 5.4 N19 47.1 9.8 60.5 |
23 | 165 36.6 S23 25.2 | 10 00.9 5.3 N19 56.8 9.7 60.5 | Polaris 293 38.4 N89 45.7
------+-------------------+----------------------------------| Pollux 241 55.7 N27 44.6
21 0 | 180 36.3 S23 25.3 | 24 25.2 5.3 N20 06.4 9.5 60.5 | Procyon 243 40.9 N 4 55.7
1 | 195 36.0 S23 25.3 | 38 49.4 5.2 N20 15.7 9.4 60.5 | Rasalhague 94 57.1 N12 29.0
2 | 210 35.7 S23 25.3 | 53 13.5 5.1 N20 25.0 9.3 60.5 | Regulus 206 23.5 N11 24.5
3 | 225 35.4 S23 25.3 | 67 37.5 5.0 N20 34.1 9.1 60.5 |
4 | 240 35.1 S23 25.3 | 82 01.5 5.0 N20 43.1 9.0 60.5 | Rigel 279 59.5 S 8 04.6
T 5 | 255 34.8 S23 25.3 | 96 25.4 4.9 N20 51.9 8.8 60.5 | Rigil Kent 138 09.8 S61 17.7
H | | | Sabik 100 46.8 S15 51.5
U 6 | 270 34.5 S23 25.4 | 110 49.2 4.8 N21 00.6 8.7 60.5 | Schedar 348 14.7 N57 09.8
R 7 | 285 34.2 S23 25.4 | 125 12.9 4.7 N21 09.1 8.5 60.5 | Shaula 94 40.4 S37 10.7
S 8 | 300 33.8 S23 25.4 | 139 36.6 4.7 N21 17.5 8.4 60.5 |
D 9 | 315 33.5 S23 25.4 | 154 00.2 4.6 N21 25.8 8.2 60.5 | Sirius 257 27.3 S16 52.6
A 10 | 330 33.2 S23 25.4 | 168 23.8 4.6 N21 33.9 8.1 60.5 | Spica 157 12.2 S11 45.0
Y 11 | 345 32.9 S23 25.4 | 182 47.3 4.5 N21 41.8 7.9 60.5 | Suhail 221 56.9 S43 53.5
| | | Vega 79 48.5 N38 53.6
12 | 0 32.6 S23 25.4 | 197 10.7 4.4 N21 49.6 7.8 60.5 | Zuben-ubi 135 45.5 S16 30.5
13 | 15 32.3 S23 25.4 | 211 34.1 4.4 N21 57.2 7.6 60.5 |
14 | 30 32.0 S23 25.4 | 225 57.4 4.3 N22 04.7 7.5 60.5 |
15 | 45 31.7 S23 25.5 | 240 20.6 4.3 N22 12.0 7.3 60.4 |
16 | 60 31.4 S23 25.5 | 254 43.8 4.2 N22 19.1 7.2 60.4 |
17 | 75 31.1 S23 25.5 | 269 07.0 4.1 N22 26.1 7.0 60.4 |
| | |
18 | 90 30.8 S23 25.5 | 283 30.0 4.1 N22 33.0 6.8 60.4 |
19 | 105 30.4 S23 25.5 | 297 53.1 4.0 N22 39.6 6.7 60.4 |
20 | 120 30.1 S23 25.5 | 312 16.1 4.0 N22 46.1 6.5 60.4 |
21 | 135 29.8 S23 25.5 | 326 39.0 3.9 N22 52.5 6.3 60.4 |
22 | 150 29.5 S23 25.5 | 341 01.9 3.9 N22 58.6 6.2 60.4 |
23 | 165 29.2 S23 25.5 | 355 24.8 3.9 N23 04.7 6.0 60.3 |
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|S.D. 16.3 d 0.0 | S.D. 16.5 16.5 16.5 |
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